BMW and a K1300??? They have the same steering dampener as my K1200RS.
Only time that my bike went across the line and didn't want to come back and I had to really force it back, the front swivel bushing on the dampener was seizing up.
Swivels as the suspension compresses/offloads. Was fine when riding normally but stiff when riding a little faster.
I fixed that the next day.....!!!Been fine for 5-6 years, I just lubed it again.